161201664000 has 1560 divisors, whose sum is σ = 679061683872. Its totient is φ = 37955174400.

The previous prime is 161201663981. The next prime is 161201664037. The reversal of 161201664000 is 466102161.

161201664000 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 0 + 16 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7008767989 + ... + 7008768011.

Almost surely, 2^161201664000 is an apocalyptic number.

161201664000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161201664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339530841936).

161201664000 is an abundant number, since it is smaller than the sum of its proper divisors (517860019872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161201664000 is an equidigital number, since it uses as much as digits as its factorization.

161201664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 161201664000 its reverse (466102161), we get a palindrome (161667766161).

The spelling of 161201664000 in words is "one hundred sixty-one billion, two hundred one million, six hundred sixty-four thousand".